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The Discrete Fourier Transform: Theory, Algorithms and Applications
4 August 2010

The Discrete Fourier Transform: Theory, Algorithms and Applications
The Discrete Fourier Transform: Theory, Algorithms and Applications
World Scientific Publishing Company 2001 | 374 | ISBN: 9810245211 | PDF | 11 Mb
This book provides comprehensive coverage of practical Fourier analysis. It develops the concepts right from the basics and gradually guides the reader to the advanced topics. It presents the latest and practically efficient DFT algorithms, as well as the computation of discrete cosine and Walsh-Hadamard transforms. The large numbers of visual aids such as figures, flow graphs and flow charts makes the mathematical topic easy to understand. In addition, the numerous examples and the set of C-language programs (a supplement to the book) help greatly in understanding the theory and algorithms. Discrete Fourier analysis is covered first, followed by the continuous case, as the discrete case is easier to grasp and is very important in practice. This book should be useful as a text for regular or professional courses on Fourier analysis, and also as a supplementary text for courses on discrete signal processing, image processing, communications engineering and vibration analysis. ...
Discrete Time Signal Processing
12 June 2010

Discrete-Time Signal Processing
Discrete-Time Signal Processing
Publisher: Prentice Hall 1999 | 870 Pages | ISBN: 0137549202 | PDF | 8 MB

This is the standard text for introductory advanced undergraduate and first-year graduate level courses in signal processing. The text gives a coherent and exhaustive treatment of discrete-time linear systems, sampling, filtering and filter design, reconstruction, the discrete-time Fourier and z-transforms, Fourier analysis of signals, the fast Fourier transform, and spectral estimation. The author develops the basic theory independently for each of the transform domains and provides illustrative examples throughout to aid the reader.
A First Course in Fourier Analysis
27 March 2010

A First Course in Fourier Analysis
David W. Kammler, "A First Course in Fourier Analysis"
Cambridge University Press | 2008 | ISBN: 0521709792 | PDF | 864 pages | 13,8 MB

This unique book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.
Fourier Transform - Materials Analysis
24 May 2012

Fourier Transform - Materials Analysis

Fourier Transform - Materials Analysis
2012 | ISBN: 9535105947 | 270 pages | PDF | 20 MB
Fourier Transform Methods in Finance
21 March 2013

Fourier Transform Methods in Finance
Fourier Transform Methods in Finance by Umberto Cherubini, Giovanni Della Lunga, Sabrina Mulinacci and Pietro Rossi
2010-02-15 | ISBN: 0470994002 | 256 pages | PDF | 2,1 MB


In recent years, Fourier transform methods have emerged as one of the major methodologies for the evaluation of derivative contracts, largely due to the need to strike a balance between the extension of existing pricing models beyond the traditional Black-Scholes setting and a need to evaluate prices consistently with the market quotes.
Fourier and Laplace Transform
25 December 2013

Fourier and Laplace Transform
Fourier and Laplace Transforms
English | 2003 | ISBN: 0521534410 | 458 pages | PDF | 4 mb
A First Course in Fourier Analysis
16 February 2011

A First Course in Fourier Analysis


A First Course in Fourier Analysis
English | 2008 | 864 pages | PDF | 13.6 MB

This unique book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.
Signals and Systems: With MATLAB Computing and Simulink Modeling
22 January 2013

Signals and Systems: With MATLAB Computing and Simulink Modeling
Signals and Systems: With MATLAB Computing and Simulink Modeling by Steven T. Karris
Publisher: Orchard Pubns; 5 edition (12 Mar 2012) | ISBN: 1934404233 | Pages: 651 | PDF | 6.76 MB


The elementary signals are reviewed in Chapter 1, and several examples are given. The purpose of this chapter is to enable the reader to express any waveform in terms of the unit step function, and subsequently the derivation of the Laplace transform of it. Chapters 2 through 4 are devoted to Laplace transformation and circuit analysis using this transform. Chapter 5 is an introduction to state-space and contains many illustrative examples. Chapter 6 discusses the impulse response. Chapters 7 and 8 are devoted to Fourier series and transform respectively. Chapter 9 introduces discrete-time signals and the Z transform. Considerable time was spent on Chapter 10 to present the Discrete Fourier transform and FFT with the simplest possible explanations. Chapter 11 contains a thorough discussion to analog and digital filters analysis and design procedures.
Fast Fourier Transform - Algorithms and Applications
4 October 2013

Fast Fourier Transform - Algorithms and Applications

Fast Fourier Transform - Algorithms and Applications
English | ISBN: 1402066287 | 2010 | 358 pages | PDF | 11,2 MB
Signals and Systems with MATLAB Computing and Simulink Model
19 February 2011

Signals and Systems with MATLAB Computing and Simulink Model


Signals and Systems with MATLAB Computing and Simulink Model
English | 2008 | 686 pages | PDF | 9.5 MB

This new (fourth) edition contains a 36-page discussion on window functions and additional examples using the MATLAB fft and ifft functions. As in the previous (third) edition, this text contains a comprehensive discussion and numerous illustrative examples on continuous and discrete time signals and systems with many MATLAB® scripts and Simulink® models. Contents: Elementary Signals, Laplace transformation and its Inverse, Circuit Analysis with the Laplace transformation, State-Space, Impulse Response and Convolution, Fourier Series and Transform, Discrete-Time Signals and the Z transform, Discrete Fourier Transform and the FFT, Design of Analog and Digital Filters, and Window Functions. Ideal for self-study by students and working professionals